nemeka nemeka
  • 10-06-2021
  • Mathematics
contestada

Differentiate 5^x in respect to x

Respuesta :

erinna erinna
  • 15-06-2021

Given:

The term is [tex]5^x[/tex].

To find:

The differentiation of [tex]5^x[/tex] with respect to x.

Solution:

Formula used:

[tex]\dfrac{d}{dx}a^x=a^x\log(a)[/tex]

Let the given function is:

[tex]f(x)=5^x[/tex]

Here, a=5.

Differentiate the given function with respect to x.

[tex]f'(x)=5^x\log(5)[/tex]

Therefore, the derivative of [tex]5^x[/tex] with respect to x is [tex]5^x\log(5)[/tex].

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